3. Extract, interpret, evaluate, communicate, and apply quantitative information and methods to solve problems, evaluate claims, and support decisions in their academic, professional and private lives. (Quantitative Literacy)

Not Addressed

4. Appreciate cultural diversity and constructively address issues that arise out of cultural differences in the workplace and community. (Cultural Awareness)

Minimally

5. Recognize the consequences of human activity upon our social and natural world. (Community and Environmental Responsibility)

Outcome Assessment Strategies

At least one project plus some combination of the following:

Class participation

Group projects

Presentations

Portfolios

Research papers

Homework assignments

Written paper

Quizzes

Exams

Other assessments of the instructors choosing

Course Activities and Design

This course will be delivered through a combination of lecture and student activities including group and individual problem solving during class. Emphasis is to be given to applications from outside the mathematics classroom. Applications will come from the broadest possible range of disciplines.

Course Content (Themes, Concepts, Issues and Skills)

Limits

Introduction – instantaneous rate of change and the need for limits

One and two-sided limits; Squeeze Theorem

Continuity and The Intermediate Value Theorem

Limit Theorems and Evaluating Limits

Limits at infinity and infinity as a limit

Limit definition of derivative

Derivatives as functions; Higher order derivatives

Derivatives and the shape of graphs

Derivatives

Derivatives of polynomials and the binomial expansion theorem

Derivative of the exponential function

Derivative Theorems; Product Rule – Quotient Rule

Derivatives of Trig functions

Chain Rule

Implicit Differentiation

Derivatives of inverse functions; Derivative of Cosh and Sinh

Tangent line approximations and differentials

Applications

Related Rates

Extreme Value Theorem and closed interval problems.

First and Second Derivative Tests

Calculus and Graphing

Mean Value Theorem for Derivatives

L'Hospital's Rule

Newton's Method

Optimization

Department Notes

Answers to all application problems will be given in complete sentences with correct units. The grade will include at least one project.

It is the policy of Columbia Gorge Community College and its Board of Education that there will be no unlawful discrimination or harassment on the grounds of race, color, sex, marital status, national origin, religion, age, disability, veteran status, sexual orientation, and any other status protected by applicable local, state, or federal law in any educational programs, activities, or employment. Courtney Judah, Director of Human Resources.